What is the Greatest Common Factor of 96320 and 96336?

Greatest common factor (GCF) of 96320 and 96336 is 16.

GCF(96320,96336) = 16

We will now calculate the prime factors of 96320 and 96336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96320 and 96336.

How to find the GCF of 96320 and 96336?

We will first find the prime factorization of 96320 and 96336. After we will calculate the factors of 96320 and 96336 and find the biggest common factor number .

Step-1: Prime Factorization of 96320

Prime factors of 96320 are 2, 5, 7, 43. Prime factorization of 96320 in exponential form is:

96320 = 2⁶ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 96336

Prime factors of 96336 are 2, 3, 223. Prime factorization of 96336 in exponential form is:

96336 = 2⁴ × 3³ × 223¹

Step-3: Factors of 96320

List of positive integer factors of 96320 that divides 96320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56, 64, 70, 80, 86, 112, 140, 160, 172, 215, 224, 280, 301, 320, 344, 430, 448, 560, 602, 688, 860, 1120, 1204, 1376, 1505, 1720, 2240, 2408, 2752, 3010, 3440, 4816, 6020, 6880, 9632, 12040, 13760, 19264, 24080, 48160

Step-4: Factors of 96336

List of positive integer factors of 96336 that divides 96320 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 223, 432, 446, 669, 892, 1338, 1784, 2007, 2676, 3568, 4014, 5352, 6021, 8028, 10704, 12042, 16056, 24084, 32112, 48168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96320 and 96336. The biggest common factor number is the GCF number.
So the greatest common factor 96320 and 96336 is 16.

Also check out the Least Common Multiple of 96320 and 96336